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Finding the Fourth Proportional to 31,203.98, 46,813.39 and 10,144.11

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Solution

The fourth proportional to 31,203.98, 46,813.39 and 10,144.11 is: 15,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.98 : 46,813.39 = 10,144.11 : x
  2. Step 2: Convert to fraction form
    31,203.98/46,813.39 = 10,144.11/x
  3. Step 3: Cross multiply
    31,203.98x = 46,813.39 × 10,144.11
  4. Step 4: Simplify right side
    31,203.98x = 474,880,152.27
  5. Step 5: Solve for x
    x = 474,880,152.27/31,203.98
  6. Step 6: Final answer
    x = 15,218.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.